Quasi-Particles Hamiltonian
classification
✦ hep-th
keywords
algebraanyonicdeformedhamiltonianheisenbergbosoniccasescite
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The anyonic Hamiltonian is quantum mechanically given and the bosonic and the fermionic Hamiltonians are found as extremes by discussing the cases of the statistical parameter $\nu$ and the dimension of space. The anyonic algebra \cite{upa} is recalled as a deformed Heisenberg algebra and a deformed $C_\lambda$-extended Heisenberg algebra.
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